Maxwell group and HS field theory

21st International Conference on Integrable Systems and Quantum Symmetries

Fedoruk, Sergey^1,2 ; Lukierski, Jerzy^3

V. N. Karazin Kharkov National University, Ukraine^1

Bogoliubov Laboratory of Theoretical Physics, JINR, Joliot-Curie 6, 141980 Dubna, Moscow region, Russia^2

Institute for Theoretical Physics, University of Wroclaw, pl. Maxa Borna 9, 50-204 Wroclaw, Poland^3

关键词: EM field;    Field theory;    Space time;    Spinors;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/474/1/012016/pdf
DOI  :  10.1088/1742-6596/474/1/012016

来源: IOP

【 摘 要 】

We consider the master fields for HS multiplets defined on 10-dimensional tensorial extension M˜ of D = 4 space-time described as a coset M˜ = M=Sl(2;C) of 16-parameter Maxwell group M. The tensorial coordinates provide a geometrization of the coupling to constant uniform EM fields. We describe the spinorial model in extended space-time M˜ and by its first quantization we obtain new infinite HS-Maxwell multiplets with their massless components coupled to each other through constant EM background. We conclude our report by observing that three-dimensional spinorial model with a pair of spinors should provide after quantization D = 3 massive HS-Maxwell multiplets.